{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# 301 Regression\n",
    "\n",
    "View more, visit my tutorial page: https://mofanpy.com/tutorials/\n",
    "My Youtube Channel: https://www.youtube.com/user/MorvanZhou\n",
    "\n",
    "Dependencies:\n",
    "* torch: 0.1.11\n",
    "* matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "import torch\n",
    "import torch.nn.functional as F\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<torch._C.Generator at 0x27b2aa59f70>"
      ]
     },
     "execution_count": 2,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "torch.manual_seed(1)    # reproducible"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "x = torch.unsqueeze(torch.linspace(-1, 1, 100), dim=1)  # x data (tensor), shape=(100, 1)\n",
    "y = x.pow(2) + 0.2*torch.rand(x.size())                 # noisy y data (tensor), shape=(100, 1)\n",
    "\n",
    "plt.scatter(x.data.numpy(), y.data.numpy())\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "class Net(torch.nn.Module):\n",
    "    def __init__(self, n_feature, n_hidden, n_output):\n",
    "        super(Net, self).__init__()\n",
    "        self.hidden = torch.nn.Linear(n_feature, n_hidden)   # hidden layer\n",
    "        self.predict = torch.nn.Linear(n_hidden, n_output)   # output layer\n",
    "\n",
    "    def forward(self, x):\n",
    "        x = F.relu(self.hidden(x))      # activation function for hidden layer\n",
    "        x = self.predict(x)             # linear output\n",
    "        return x"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Net(\n  (hidden): Linear(in_features=1, out_features=10, bias=True)\n  (predict): Linear(in_features=10, out_features=1, bias=True)\n)\n"
     ]
    }
   ],
   "source": [
    "net = Net(n_feature=1, n_hidden=10, n_output=1)     # define the network\n",
    "print(net)  # net architecture"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "optimizer = torch.optim.SGD(net.parameters(), lr=0.2)\n",
    "loss_func = torch.nn.MSELoss()  # this is for regression mean squared loss"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "plt.ion()   # something about plotting"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    },
    {
     "data": {
      "image/png": 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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "for t in range(100):\n",
    "    prediction = net(x)     # input x and predict based on x\n",
    "\n",
    "    loss = loss_func(prediction, y)     # must be (1. nn output, 2. target)\n",
    "\n",
    "    optimizer.zero_grad()   # clear gradients for next train\n",
    "    loss.backward()         # backpropagation, compute gradients\n",
    "    optimizer.step()        # apply gradients\n",
    "\n",
    "    if t % 10 == 0:\n",
    "        # plot and show learning process\n",
    "        plt.cla()\n",
    "        plt.scatter(x.data.numpy(), y.data.numpy())\n",
    "        plt.plot(x.data.numpy(), prediction.data.numpy(), 'r-', lw=5)\n",
    "        plt.text(0.5, 0, 'Loss=%.4f' % loss.data.numpy(), fontdict={'size': 20, 'color':  'red'})\n",
    "        plt.show()\n",
    "        plt.pause(0.1)\n",
    "\n",
    "plt.ioff()\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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